Question : Find the sum of $\left (1-\frac{1}{n+1} \right) + \left (1-\frac{2}{n+1} \right) + \left (1- \frac{3}{n+1} \right)+.....\left ( 1- \frac{n}{n+1} \right)$.

Option 1: $n$

Option 2: $\frac{n}{2}$

Option 3: $(n+1)$

Option 4: $\frac{(n+1)}{2}$

Question : A person can hit a target 5 times out of 8 shots. If he fires 10 shots, what is the probability that he will hit the target twice?

Option 1: $\frac{1135 \times 3^8}{8^{10}}$

Option 2: $\frac{1165 \times 3^8}{8^{10}}$

Option 3: $\frac{1175 \times 3^8}{8^{10}}$

Option 4: $\frac{1125 \times 3^8}{8^{10}}$

Question : The ratio of Ram's age to Rahim's age is $10:11$. What is Rahim's age in percentage of Ram's age?

Option 1: $109\frac{1}{2}$%

Option 2: $110$%

Option 3: $111\frac{1}{9}$%

Option 4: $111$%

Question : A and B have some toffees. If A gives one toffee to B, they will have an equal number of toffees. If B gives one toffee to A, the number of toffees with A is double the number with B. The total number of toffees with A and B is:

Option 1: 12

Option 2: 10

Option 3: 14

Option 4: 15

Question : The value of $\frac{1}{(p-n)(n-q)}+\frac{1}{(n-q)(q-p)}+\frac{1}{(q-p)(p-n)}$ is:

Option 1: $1$

Option 2: $0$

Option 3: $p + q + n$

Option 4: $\frac{2n}{p+q}$